Seminars | Conferences | Teaching | Positions |

(with Chris Karpinski and Piotr Przytycki) * Weak Tits alternative for uniform lattices in buildings*, submitted (2023).

(with Piotr Przytycki) * Coxeter groups are biautomatic*, submitted (2022).

(with Thomas Haettel) * Locally elliptic actions, torsion groups, and nonpositively curved spaces*, submitted (2021).

(with Piotr Przytycki) * Tits Alternative for 2-dimensional CAT(0) complexes*, Forum Math. Pi 10 (2022), Paper No. e25, 19 pp.

(with Motiejus Valiunas) * Helly groups, coarsely Helly groups, and relative hyperbolicity*, Trans. Amer. Math. Soc. (2022), doi:10.1090/tran/8727.

(with Zachary Munro and Piotr Przytycki) * 2-dimensional Coxeter groups are biautomatic*, Proc. Roy. Soc. Edinburgh Sect. A 152 (2022), no. 2, 382-401.

(with Jérémie Chalopin, Victor Chepoi, Anthony Genevois and Hiroshi Hirai) * Helly groups*, Geom. Topol., to appear (2023).

(with Jingyin Huang) * Helly meets Garside and Artin*, Invent. Math. 225 (2021), no. 2, 395-426.

(with Piotr Przytycki) * Tits Alternative for groups acting properly on 2-dimensional recurrent complexes* (with an appendix written jointly with Jon McCammond), Adv. Math. 391 (2021), Paper No. 107976, 22 pp.

(with Sergey Norin and Piotr Przytycki) * Torsion groups do not act on 2-dimensional CAT(0) complexes*, Duke Math. J. 171 (2022), no. 6, 1379-1415.

(with Alexandre Martin) * A combination theorem for combinatorially non-positively curved complexes of hyperbolic groups*, Math. Proc. Cambridge Philos. Soc. 170 (2021), no. 3, 445-477.

(with Nima Hoda) * Two-dimensional systolic complexes satisfy Property A*, Internat. J. Algebra Comput. 28 (2018), no. 7, 1247-1254.

(with Jingyin Huang) * Quasi-Euclidean tilings over 2-dimensional Artin groups and their applications*, Mem. Amer. Math. Soc., to appear (2020).

(with Jingyin Huang) * Metric systolicitiy and two-dimensional Artin groups*, Math. Ann. 374 (2019), no. 3-4, 1311-1352.

(with Jingyin Huang) * Large-type Artin groups are systolic*, Proc. Lond. Math. Soc. 120 (2020), no. 1, 95-123.

* Residually finite non-exact groups*, Geom. Funct. Anal. 28 (2018), no. 2, 509-517.

* Group cubization* (with an appendix by Mikael Pichot), Duke Math. J. 167 (2018), no. 6, 1049-1055.

(with Tomasz Prytuła) * Classifying spaces for families of subgroups for systolic groups*, Groups Geom. Dyn. 12 (2018), no. 3, 1005-1060.

* Normal subgroups of SimpHAtic groups*, J. Topol. Anal. (2021), doi:10.1142/S1793525321500515.

(with Jérémie Chalopin, Victor Chepoi and Hiroshi Hirai) * Weakly modular graphs and nonpositive curvature*, Mem. Amer. Math. Soc., 268 (2020), no. 1309.

* Small cancellation labellings of some infinite graphs and applications*, Acta Math. 225 (2020), no. 1, 159-191.

(with Goulnara Arzhantseva) * Graphical small cancellation groups with the Haagerup property*, preprint (2014).

* Combinatorial negative curvature and triangulations of three-manifolds*, Indiana Univ. Math. J. 64 (2015), no. 3, 943-956.

(with Jacek Świątkowski) *On asymptotically hereditarily aspherical groups*, Proc. Lond. Math. Soc. 111 (2015), no. 1, 93-126.

* A combinatorial non-positive curvature I: weak systolicity*, preprint (2013).

(with Jérémie Chalopin and Victor Chepoi) * On two conjectures of Maurer concerning basis graphs of matroids*, J. Combin. Theory Ser. B 114 (2015), 1-32.

(with Goulnara Arzhantseva) * Infinitely presented small cancellation groups have the Haagerup property*, J. Topol. Anal. 7 (2015), 389-406.

(with Sebastian Hensel and Piotr Przytycki) * Realisation and dismantlability*, Geom. Topol. 18 (2014), 2079-2126.

(with Boštjan Brešar, Jérémie Chalopin, Victor Chepoi and Tanja Gologranc) * Bucolic complexes*, Adv. Math. 243 (2013), 127-167.

* A construction of hyperbolic Coxeter groups*, Comment. Math. Helv. 88 (2013), no. 2, 353-367.

(with Victor Chepoi) * Dismantlability of weakly systolic complexes and applications*, Trans. Amer. Math. Soc. 367 (2015), no. 2, 1247-1272.

(with Piotr Przytycki) * Boundaries of systolic groups*, Geom. Topol. 13 (2009), 2807-2880.

* Ideal boundary of 7-systolic complexes and groups*, Algebr. Geom. Topol. 8 (2008), no. 1, 81-99.

* Connectedness at infinity of systolic complexes and groups*, Groups Geom. Dyn.
1 (2007), 183-203.

(with Jan Dymara) * Boundaries of right-angled hyperbolic buildings*, Fund. Math. 197 (2007), 123-165.

* The topology of the punctured Banach-Mazur compacta*, preprint (2003).